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structure definition def or abbrev

AreaOperator

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formal statement (Lean)

  23structure AreaOperator (H : Type*) [RSHilbertSpace H] where
  24  /-- The set of simplicial faces being measured. -/
  25  surface : Set Simplex3
  26  /-- The operator acting on the Hilbert space. -/
  27  op : H → H
  28  is_self_adjoint : ∀ (ψ₁ ψ₂ : H), ⟪ψ₁, op ψ₂⟫_ℂ = ⟪op ψ₁, ψ₂⟫_ℂ
  29
  30/-- **DEFINITION: Ledger Eigenstates**
  31    In the RS basis, states are characterized by the definite activation
  32    of simplicial faces. A state ψ is a ledger eigenstate if it is an
  33    eigenstate of all local face flux operators. -/

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